441252 has 72 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 117504.

The previous prime is 441251. The next prime is 441257. The reversal of 441252 is 252144.

441252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4233 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (18928).

2⁴⁴¹²⁵² is an apocalyptic number.

441252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408).

441252 is an abundant number, since it is smaller than the sum of its proper divisors (921564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441252 is a wasteful number, since it uses less digits than its factorization.

441252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 441252 is about 664.2680181975. The cubic root of 441252 is about 76.1311217545.

Adding to 441252 its reverse (252144), we get a palindrome (693396).

It can be divided in two parts, 44 and 1252, that added together give a 4-th power (1296 = 6⁴).

The spelling of 441252 in words is "four hundred forty-one thousand, two hundred fifty-two".